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22001020212200 = 23523131117314641
BaseRepresentation
bin1010000000010100000101…
…11111101001001111101000
32212220021110221000111122212
411000022002333221033220
510340431042133242300
6114443043521504252
74430343535132361
oct500120277511750
985807427014585
1022001020212200
1170126423873a7
122573b411a2088
13c378c2011163
14560bd83dab68
1528246c6d8935
hex140282fe93e8

22001020212200 has 96 divisors (see below), whose sum is σ = 51361902073560. Its totient is φ = 8764410470400.

The previous prime is 22001020212131. The next prime is 22001020212221. The reversal of 22001020212200 is 221202010022.

It can be written as a sum of positive squares in 12 ways, for example, as 7121223147844 + 14879797064356 = 2668562^2 + 3857434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69766880 + ... + 70081520.

Almost surely, 222001020212200 is an apocalyptic number.

22001020212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001020212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680951036780).

22001020212200 is an abundant number, since it is smaller than the sum of its proper divisors (29360881861360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22001020212200 is a wasteful number, since it uses less digits than its factorization.

22001020212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316087 (or 316078 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22001020212200 its reverse (221202010022), we get a palindrome (22222222222222).

The spelling of 22001020212200 in words is "twenty-two trillion, one billion, twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 313 626 1117 1252 1565 2234 2504 3130 4468 5585 6260 7825 8936 11170 12520 15650 22340 27925 31300 44680 55850 62600 111700 223400 314641 349621 629282 699242 1258564 1398484 1573205 1748105 2517128 2796968 3146410 3496210 6292820 6992420 7866025 8740525 12585640 13984840 15732050 17481050 31464100 34962100 62928200 69924200 98482633 196965266 351453997 393930532 492413165 702907994 787861064 984826330 1405815988 1757269985 1969652660 2462065825 2811631976 3514539970 3939305320 4924131650 7029079940 8786349925 9848263300 14058159880 17572699850 19696526600 35145399700 70290799400 110005101061 220010202122 440020404244 550025505305 880040808488 1100051010610 2200102021220 2750127526525 4400204042440 5500255053050 11000510106100 22001020212200